Wow, thanks for this ,I will definitely test this and play around with it some more to get more intuitions.
Thanks @jsocolar
-Hunter
Should that not be 1 - v?
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Of course it should, although note that the models are completely equivalent under symmetric zero centered coefficient priors; you just negate the interpretation of the first models coefficient and random effects, and of the second model’s beta1. But no need to confuse things. 1 - v is absolutely what I meant and this is a typo.